Question

What is the effect on the graph of f(x) = 1//x when it is transformed to g(x) = (1/x) - 14? O A. The graph of f(x) is shifted 14 units down. B. The graph of f(x) is shifted 14 units to the left. O C. The graph of f(x) is shifted 14 units to the right. D. The graph of f(x) is shifted 14 units up.

Answer 1

Option A is correct.

The graph of f(x) is shifted 14 units down.

Step-by-step explanation

When a function f(x) is translated vertically along the y-axis by b units, the new function is represented as

f(x) + b when the translation is by b units upwards.

f(x) - b when the translation is by b units downwards.

For this question, we can see that f(x) = (1/x) becomes

g(x) = (1/x) - 14

This shows that the function f(x) was moved 14 units downwards.

Hope this Helps!!!